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Let $X$ be any subanalytic compact pseudomanifold. We show a De Rham theorem for $L^\infty$ forms. We prove that the cohomology of $L^\infty$ forms is isomorphic to intersection cohomology in the maximal perversity.

Algebraic Geometry · Mathematics 2012-07-09 Guillaume Valette

Leveraging the development of structural causal model (SCM), researchers can establish graphical models for exploring the causal mechanisms behind machine learning techniques. As the complexity of machine learning applications rises,…

Machine Learning · Computer Science 2024-06-19 Jiangmeng Li , Bin Qin , Qirui Ji , Yi Li , Wenwen Qiang , Jianwen Cao , Fanjiang Xu

A structural causal model is made of endogenous (manifest) and exogenous (latent) variables. We show that endogenous observations induce linear constraints on the probabilities of the exogenous variables. This allows to exactly map a causal…

Artificial Intelligence · Computer Science 2020-08-04 Marco Zaffalon , Alessandro Antonucci , Rafael Cabañas

Causal inference quantifies cause-effect relationships by estimating counterfactual parameters from data. This entails using \emph{identification theory} to establish a link between counterfactual parameters of interest and distributions…

Machine Learning · Statistics 2020-04-17 Jaron J. R. Lee , Ilya Shpitser

Dynamic structural causal models (SCMs) are a powerful framework for reasoning in dynamic systems about direct effects which measure how a change in one variable affects another variable while holding all other variables constant. The…

Artificial Intelligence · Computer Science 2024-02-16 Simon Ferreira , Charles K. Assaad

Recent progress in Neural Causal Models (NCMs) showcased how identification and partial identification of causal effects can be automatically carried out via training of neural generative models that respect the constraints encoded in a…

Machine Learning · Computer Science 2025-06-17 Jiyuan Tan , Jose Blanchet , Vasilis Syrgkanis

In physical systems possessing symmetry, reconstructing the underlying causal structure from observational data constitutes an inverse problem of fundamental importance. In this work, we formulate the inverse problem of causal inference…

Mathematical Physics · Physics 2025-11-13 Isshin Arai , Tomoaki Itano

Structural causal models (SCMs), also known as (nonparametric) structural equation models (SEMs), are widely used for causal modeling purposes. In particular, acyclic SCMs, also known as recursive SEMs, form a well-studied subclass of SCMs…

Methodology · Statistics 2021-11-23 Stephan Bongers , Patrick Forré , Jonas Peters , Joris M. Mooij

Multi-level Hierarchical Classification (MLHC) tackles the challenge of categorizing items within a complex, multi-layered class structure. However, traditional MLHC classifiers often rely on a backbone model with independent output layers,…

Artificial Intelligence · Computer Science 2025-01-14 Shijing Chen , Mohamed Reda Bouadjenek , Shoaib Jameel , Usman Naseem , Basem Suleiman , Flora D. Salim , Hakim Hacid , Imran Razzak

Subgraph isomorphism counting is known as #P-complete and requires exponential time to find the accurate solution. Utilizing representation learning has been shown as a promising direction to represent substructures and approximate the…

Machine Learning · Computer Science 2024-05-14 Xin Liu , Weiqi Wang , Jiaxin Bai , Yangqiu Song

This paper investigates the reliability of explanations generated by large language models (LLMs) when prompted to explain their previous output. We evaluate two kinds of such self-explanations - extractive and counterfactual - using three…

Computation and Language · Computer Science 2025-02-03 Korbinian Randl , John Pavlopoulos , Aron Henriksson , Tony Lindgren

In eXplainable Artificial Intelligence (XAI), instance-based explanations for time series have gained increasing attention due to their potential for actionable and interpretable insights in domains such as healthcare. Addressing the…

Machine Learning · Computer Science 2026-01-21 Maciej Mozolewski , Betül Bayrak , Kerstin Bach , Grzegorz J. Nalepa

Conformal prediction (CP) is widely presented as distribution-free predictive inference with finite-sample marginal coverage under exchangeability. We argue that CP is best understood as a rank-calibrated descendant of the…

Statistics Theory · Mathematics 2025-12-30 Jyotishka Datta , Nicholas G. Polson , Vadim Sokolov , Daniel Zantedeschi

We propose nonparametric identification and semiparametric estimation of joint potential outcome distributions in the presence of confounding. First, in settings with observed confounding, we derive tighter, covariate-informed bounds on the…

Methodology · Statistics 2026-02-19 Jianle Sun , Kun Zhang

Counterfactual image editing is an important task in generative AI, which asks how an image would look if certain features were different. The current literature on the topic focuses primarily on changing individual features while remaining…

Computer Vision and Pattern Recognition · Computer Science 2024-03-18 Yushu Pan , Elias Bareinboim

Linear causal models are important tools for modeling causal dependencies and yet in practice, only a subset of the variables can be observed. In this paper, we examine the parameter identifiability of these models by investigating whether…

Machine Learning · Computer Science 2025-02-11 Xinshuai Dong , Ignavier Ng , Biwei Huang , Yuewen Sun , Songyao Jin , Roberto Legaspi , Peter Spirtes , Kun Zhang

Causality is vital for understanding true cause-and-effect relationships between variables within predictive models, rather than relying on mere correlations, making it highly relevant in the field of Explainable AI. In an automated…

Machine Learning · Computer Science 2024-08-28 Arturo Fredes , Jordi Vitria

A growing family of approaches to causal inference rely on Bayesian formulations of assumptions that go beyond causal graph structure. For example, Bayesian approaches have been developed for analyzing instrumental variable designs,…

Machine Learning · Computer Science 2022-11-01 Sam Witty , David Jensen , Vikash Mansinghka

We consider the task of counterfactual estimation from observational imaging data given a known causal structure. In particular, quantifying the causal effect of interventions for high-dimensional data with neural networks remains an open…

Machine Learning · Computer Science 2022-02-22 Pedro Sanchez , Sotirios A. Tsaftaris

Counterfactual examples for an input -- perturbations that change specific features but not others -- have been shown to be useful for evaluating bias of machine learning models, e.g., against specific demographic groups. However,…

Computer Vision and Pattern Recognition · Computer Science 2022-01-07 Saloni Dash , Vineeth N Balasubramanian , Amit Sharma
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